Dimensions Of Physical Quantities

Step 1: Understanding the Question:
The goal is to find the density of a cubic object given its mass and edge length, and then express it in the International System of Units (SI), which is kilograms per cubic meter (kg/m ).

Step 2: Key Formula or Approach:
1. Volume of a cube: , where is the edge length.
2. Density formula: .
3. Conversion: To convert g/cm to kg/m , multiply by 1000.

Step 3: Detailed Explanation:
Given data:
- Edge length ( ) = 4 cm
- Mass ( ) = 256 g
Calculation:
1. Calculate the volume in cm :
2. Calculate the density in g/cm :
3. Convert to SI units (kg/m ):
Since and :
Therefore, .

Step 4: Final Answer:
The density of the material is 4000 kg/m .

Concept: Density is defined as the mass per unit volume of a substance. where
• = density
• = mass
• = volume For a cube, the volume is given by where is the edge length of the cube.

Step 1: Calculate the volume of the cube. Edge of cube:

Step 2: Calculate density in CGS unit. Mass given:

Step 3: Convert density into SI unit. Therefore, Thus, the density of the material is